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Simplifying 7x + -1(x + -5) = 5x + 12 Reorder the terms: 7x + -1(-5 + x) = 5x + 12 7x + (-5 * -1 + x * -1) = 5x + 12 7x + (5 + -1x) = 5x + 12 Reorder the terms: 5 + 7x + -1x = 5x + 12 Combine like terms: 7x + -1x = 6x 5 + 6x = 5x + 12 Reorder the terms: 5 + 6x = 12 + 5x Solving 5 + 6x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x 5 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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